10102101121 has 12 divisors (see below), whose sum is σ = 11757303360. Its totient is φ = 8654611560.

The previous prime is 10102101059. The next prime is 10102101167. The reversal of 10102101121 is 12110120101.

It is not a de Polignac number, because 10102101121 - 2¹⁹ = 10101576833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102101098 and 10102101107.

It is not an unprimeable number, because it can be changed into a prime (10102101521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49356 + ... + 150466.

It is an arithmetic number, because the mean of its divisors is an integer number (979775280).

Almost surely, 2^10102101121 is an apocalyptic number.

It is an amenable number.

10102101121 is a deficient number, since it is larger than the sum of its proper divisors (1655202239).

10102101121 is a wasteful number, since it uses less digits than its factorization.

10102101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103164 (or 103157 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102101121 its reverse (12110120101), we get a palindrome (22212221222).

The spelling of 10102101121 in words is "ten billion, one hundred two million, one hundred one thousand, one hundred twenty-one".